Prime p₀= 2881559996642452889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 118 2 16 2 70 2 46 2 (?)
a_n: 0 2 12 14 30 32 150 152 168 170 240 242 288 290
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: 290
Found by: Ben
db: batch=82, k=14, 10 16 118 16 70 46

SPT(16)	2881558334615599811	0 30 42 50 86 110 152 176 216 240 282 306 342 350 362 392	-1662026853078
SPT(16)	2881558363369240369	0 24 28 112 118 148 150 154 198 202 204 234 240 324 328 352	-1633273212520
STPT(10)	2881558375849314191	0 2 30 32 60 62 90 92 120 122	-1620793138698
SPT(16)	2881559011981372661	0 12 56 108 120 156 176 180 308 312 332 368 380 432 476 488	-984661080228
SPT(16)	2881559824736683063	0 18 28 96 124 130 138 154 240 256 264 270 298 366 376 394	-171905769826
SPT(16)	2881559963228773357	0 34 76 82 112 124 160 186 280 306 342 354 384 390 432 466	-33413679532
SPT(16)	2881560230161497263	0 44 56 78 80 84 86 164 240 318 320 324 326 348 360 404	233519044374
SPT(18)	2881560458400577963	0 66 88 100 126 168 256 258 276 280 298 300 388 430 456 468 490 556	461758125074
STPT(10)	2881561787754635771	0 2 30 32 60 62 90 92 120 122	1791112182882
TPT(14)	2881562448523572197	0 2 60 62 72 74 102 104 114 116 150 152 294 296	2451881119308
STPT(10)	2881562664762606701	0 2 30 32 60 62 90 92 120 122	2668120153812