Prime p₀= 1101536109351387329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 178 2 70 2 10 2 64 2 (?)
a_n: 0 2 42 44 48 50 228 230 300 302 312 314 378 380
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: 380
Found by: Theadalus
db: batch=76, k=14, 40 4 178 70 10 64

SPT(16)	1101535447093172521	0 16 72 160 196 198 232 268 300 336 370 372 408 496 552 568	-662258214808
SPT(16)	1101535472484305567	0 42 62 74 90 120 144 192 224 272 296 326 342 354 374 416	-636867081762
SPT(16)	1101535591774789793	0 18 56 90 98 108 144 168 206 230 266 276 284 318 356 374	-517576597536
SPT(16)	1101535835161362113	0 6 24 30 50 74 140 204 296 360 426 450 470 476 494 500	-274190025216
SPT(16)	1101535903633178833	0 4 18 24 46 108 130 136 138 144 166 228 250 256 270 274	-205718208496
STPT(10)	1101536059750252331	0 2 6 8 18 20 30 32 36 38	-49601134998
STPT(10)	1101536396577903617	0 2 90 92 102 104 114 116 204 206	287226516288
STPT(10)	1101536414383954049	0 2 42 44 90 92 138 140 180 182	305032566720
SPT(16)	1101536424802157731	0 18 22 36 46 48 106 112 126 132 190 192 202 216 220 238	315450770402
STPT(10)	1101536612093632367	0 2 42 44 72 74 102 104 144 146	502742245038
SPT(16)	1101536647787520253	0 36 46 96 106 114 150 154 180 184 220 228 238 288 298 334	538436132924