Prime p₀= 1136171358968937587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 58 2 94 2 10 2 40 2 4 2 (?)
a_n: 0 2 114 116 174 176 270 272 282 284 324 326 330 332
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: 332
Found by: stoneageman
db: batch=76, k=14, 112 58 94 10 40 4

SPT(16)	1136170910017608691	0 10 58 102 106 118 160 162 226 228 270 282 286 330 378 388	-448951328896
STPT(10)	1136171015835164999	0 2 18 20 30 32 42 44 60 62	-343133772588
TPT(14)	1136171031089408801	0 2 126 128 180 182 186 188 198 200 240 242 258 260	-327879528786
STPT(10)	1136171174587201589	0 2 12 14 90 92 168 170 180 182	-184381735998
SPT(16)	1136171269960888039	0 28 48 88 90 118 142 214 228 300 324 352 354 394 414 442	-89008049548
SPT(16)	1136171333544927941	0 2 50 72 170 182 198 200 258 260 276 288 386 408 456 458	-25424009646
SPT(16)	1136171881117460261	0 12 78 92 98 132 138 140 180 182 188 222 228 242 308 320	522148522674
SPT(16)	1136171884671080911	0 40 58 190 246 268 276 288 310 322 330 352 408 540 558 598	525702143324
TPT(14)	1136172017785355651	0 2 36 38 78 80 90 92 168 170 240 242 246 248	658816418064
STPT(10)	1136172588139381487	0 2 30 32 60 62 90 92 120 122	1229170443900
SPT(16)	1136172864150389543	0 30 38 56 98 156 168 170 186 188 200 258 300 318 326 356	1505181451956