Prime p₀= 2303168343623839589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 136 2 28 2 22 2 (?)
a_n: 0 2 18 20 30 32 60 62 198 200 228 230 252 254
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: 254
Found by: vinn@[CNT]
db: batch=81, k=14, 16 10 28 136 28 22

SPT(16)	2303166480856891537	0 6 10 24 30 46 60 70 156 166 180 196 202 216 220 226	-1862766948052
SPT(13)	2303166749266470683	0 24 36 66 96 114 180 246 264 294 324 336 360	-1594357368906
SPT(16)	2303167226789968907	0 14 30 32 62 84 140 162 194 216 272 294 324 326 342 356	-1116833870682
STPT(10)	2303167327054659017	0 2 30 32 42 44 54 56 84 86	-1016569180572
SPT(16)	2303167352341424573	0 8 36 50 86 104 116 134 180 198 210 228 264 278 306 314	-991282415016
SPT(16)	2303168066805479281	0 6 30 52 72 100 102 156 232 286 288 316 336 358 382 388	-276818360308
STPT(10)	2303168470939602647	0 2 54 56 132 134 210 212 264 266	127315763058
SPT(16)	2303168806296806117	0 14 20 26 54 60 90 102 104 116 146 152 180 186 192 206	462672966528
STPT(10)	2303168979945896717	0 2 30 32 72 74 114 116 144 146	636322057128
SPT(16)	2303168991734609363	0 18 44 54 66 68 80 110 114 144 156 158 170 180 206 224	648110769774
SPT(16)	2303169103461659063	0 26 30 36 50 56 74 116 138 180 198 204 218 224 228 254	759837819474