Prime p₀= 1954092635626827431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 40 2 40 2 88 2 4 2 (?)
a_n: 0 2 36 38 66 68 108 110 150 152 240 242 246 248
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: 248
Found by: conf [MM]
db: batch=80, k=14, 34 28 40 40 88 4

SPT(16)	1954091261838596081	0 6 60 80 108 132 158 182 186 210 236 260 288 308 362 368	-1373788231350
STPT(10)	1954091322121616297	0 2 42 44 72 74 102 104 144 146	-1313505211134
SPT(16)	1954091517083523893	0 6 20 36 54 56 78 80 204 206 228 230 248 264 278 284	-1118543303538
SPT(16)	1954092009222665003	0 24 104 164 206 216 234 240 284 290 308 318 360 420 500 524	-626404162428
STPT(10)	1954092108192513431	0 2 6 8 18 20 30 32 36 38	-527434314000
SPT(16)	1954092128446807751	0 78 138 150 152 198 240 320 348 428 470 516 518 530 590 668	-507180019680
STPT(10)	1954092907390020107	0 2 12 14 42 44 72 74 84 86	271763192676
SPT(16)	1954093359863194247	0 20 24 32 74 126 150 162 164 176 200 252 294 302 306 326	724236366816
STPT(10)	1954093380665636237	0 2 24 26 42 44 60 62 84 86	745038808806
STPT(10)	1954093413754068311	0 2 6 8 48 50 90 92 96 98	778127240880
SPT(16)	1954093741132091029	0 4 60 64 148 150 172 202 330 360 382 384 468 472 528 532	1105505263598