Prime p₀= 999361940419334729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 34 2 70 2 58 2 (?)
a_n: 0 2 12 14 30 32 72 74 108 110 180 182 240 242
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: 242
Found by: stoneageman
db: batch=76, k=14, 10 16 40 34 70 58

SPT(16)	999361203889383913	0 28 78 90 118 138 156 190 216 250 268 288 316 328 378 406	-736529950816
TPT(14)	999361386581642699	0 2 42 44 108 110 168 170 198 200 222 224 240 242	-553837692030
STPT(10)	999361630031390411	0 2 30 32 60 62 90 92 120 122	-310387944318
SPT(18)	999361808749319317	0 12 22 42 60 66 84 120 144 172 196 232 250 256 274 294 304 316	-131670015412
SPT(16)	999361888793865703	0 40 46 88 124 168 186 190 204 208 226 270 306 348 354 394	-51625469026
SPT(16)	999361928248397947	0 4 6 70 72 90 136 214 282 360 406 424 426 490 492 496	-12170936782
STPT(10)	999362026463673539	0 2 18 20 30 32 42 44 60 62	86044338810
SPT(16)	999362086655336317	0 36 60 90 106 114 124 132 154 162 172 180 196 226 250 286	146236001588
SPT(16)	999362143242350053	0 18 36 46 48 64 88 90 124 126 150 166 168 178 196 214	202823015324
STPT(10)	999362372568667181	0 2 6 8 48 50 90 92 96 98	432149332452
SPT(16)	999362429123294387	0 2 26 56 60 72 110 116 126 132 170 182 186 216 240 242	488703959658