Prime p₀= 736390111231419527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 40 2 28 2 76 2 46 2 (?)
a_n: 0 2 24 26 42 44 84 86 114 116 192 194 240 242
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: Theadalus
db: batch=73, k=14, 22 16 40 28 76 46

SPT(16)	736389016978936729	0 22 30 52 78 90 108 114 148 154 172 184 210 232 240 262	-1094252482798
STPT(10)	736389057050712431	0 2 36 38 78 80 120 122 156 158	-1054180707096
STPT(10)	736389180805877939	0 2 18 20 30 32 42 44 60 62	-930425541588
STPT(10)	736389599623426421	0 2 30 32 78 80 126 128 156 158	-511607993106
SPT(16)	736389808807035827	0 6 12 14 36 56 80 86 90 96 120 140 162 164 170 176	-302424383700
STPT(10)	736389871016453411	0 2 6 8 18 20 30 32 36 38	-240214966116
SPT(16)	736390136857308091	0 28 30 82 88 120 186 246 292 352 418 450 456 508 510 538	25625888564
STPT(10)	736390269060247559	0 2 18 20 30 32 42 44 60 62	157828828032
SPT(16)	736390290879807203	0 6 26 48 56 120 156 170 264 278 314 378 386 408 428 434	179648387676
STPT(10)	736390566137152019	0 2 18 20 30 32 42 44 60 62	454905732492
SPT(16)	736390795467933887	0 54 80 120 134 156 180 204 242 266 290 312 326 366 392 446	684236514360