Prime p₀= 1953431141049557159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 40 2 10 2 76 2 58 2 (?)
a_n: 0 2 42 44 48 50 90 92 102 104 180 182 240 242
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: 242
Found by: conf [MM]
db: batch=80, k=14, 40 4 40 10 76 58

SPT(20)	1953429893077505399	0 30 32 90 104 188 252 278 284 342 350 408 414 440 504 588 602 660 662 692	-1247972051760
SPT(16)	1953430085471511641	0 26 56 60 66 108 120 122 156 158 170 212 218 222 252 278	-1055578045518
SPT(16)	1953430271661643939	0 28 48 84 94 108 112 142 150 180 184 198 208 244 264 292	-869387913220
STPT(10)	1953430674123185987	0 2 30 32 72 74 114 116 144 146	-466926371172
STPT(10)	1953430913230767029	0 2 48 50 90 92 132 134 180 182	-227818790130
SPT(16)	1953430969446910801	0 30 42 72 82 96 112 156 232 276 292 306 316 346 358 388	-171602646358
TPT(14)	1953431218447513241	0 2 48 50 66 68 126 128 288 290 390 392 420 422	77397956082
STPT(10)	1953431238509263361	0 2 36 38 78 80 120 122 156 158	97459706202
SPT(16)	1953431652155405677	0 34 90 112 150 184 192 244 402 454 462 496 534 556 612 646	511105848518
STPT(10)	1953431720056550561	0 2 36 38 78 80 120 122 156 158	579006993402
SPT(16)	1953431928105995933	0 38 60 110 128 138 156 186 260 290 308 318 336 386 408 446	787056438774