Prime p₀= 1976648538499053047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 46 2 76 2 70 2 58 2 10 2 (?)
a_n: 0 2 54 56 102 104 180 182 252 254 312 314 324 326
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 326
Found by: Dingo
db: batch=80, k=14, 52 46 76 70 58 10

SPT(16)	1976646256955843443	0 46 70 126 136 148 190 208 216 234 276 288 298 354 378 424	-2281543209604
SPT(16)	1976646356844538843	0 6 10 34 46 100 120 148 156 184 204 258 270 294 298 304	-2181654514204
SPT(16)	1976646996397396441	0 40 46 70 112 126 136 156 196 216 226 240 282 306 312 352	-1542101656606
SPT(18)	1976647568274739093	0 4 18 48 96 136 154 156 178 216 238 240 258 298 346 376 390 394	-970224313954
SPT(16)	1976647575448804213	0 18 28 40 70 106 138 160 174 196 228 264 294 306 316 334	-963050248834
TPT(14)	1976647918948632659	0 2 30 32 42 44 78 80 132 134 162 164 210 212	-619550420388
SPT(16)	1976648820790683113	0 20 44 60 68 114 144 156 158 170 200 246 254 270 294 314	282291630066
SPT(16)	1976649339967924243	0 40 66 96 166 174 178 196 198 216 220 228 298 328 354 394	801468871196
STPT(10)	1976649548069251997	0 2 30 32 42 44 54 56 84 86	1009570198950
SPT(16)	1976649582208488919	0 12 18 30 40 42 70 160 180 270 298 300 310 322 328 340	1043709435872
SPT(16)	1976649632691146191	0 18 70 72 102 136 148 150 238 240 252 286 316 318 370 388	1094192093144