Prime p₀= 2427331896173660921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 64 2 58 2 28 2 118 2 (?)
a_n: 0 2 18 20 30 32 96 98 156 158 186 188 306 308
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: 308
Found by: JayPi
db: batch=82, k=14, 16 10 64 58 28 118

SPT(16)	2427329510849132999	0 32 54 72 74 104 120 132 140 152 168 198 200 218 240 272	-2385324527922
SPT(16)	2427329612896405793	0 20 24 50 60 98 140 176 198 234 276 314 324 350 354 374	-2283277255128
SPT(16)	2427329989328225701	0 12 40 52 100 132 142 192 370 420 430 462 510 522 550 562	-1906845435220
SPT(16)	2427330046954087153	0 6 16 46 54 58 64 114 130 180 186 190 198 228 238 244	-1849219573768
STPT(10)	2427330258101448587	0 2 24 26 42 44 60 62 84 86	-1638072212334
SPT(16)	2427331356677808169	0 30 64 78 84 124 168 172 180 184 228 268 274 288 322 352	-539495852752
SPT(16)	2427331968280823369	0 2 38 44 50 62 80 104 108 132 150 162 168 174 210 212	72107162448
SPT(16)	2427331998199408511	0 8 96 138 168 186 200 206 222 228 242 260 290 332 420 428	102025747590
SPT(16)	2427332319553163489	0 24 68 104 122 168 188 192 260 264 284 330 348 384 428 452	423379502568
STPT(12)	2427332500463512307	0 2 12 14 24 26 30 32 42 44 54 56	604289851386
SPT(16)	2427332685574024849	0 12 52 54 132 144 150 214 300 364 370 382 460 462 502 514	789400363928