Prime p₀= 1021179697724447951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 48 50 60 62 96 98 138 140 180 182 216 218
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: 218
Found by: Skivelitis2
db: batch=76, k=14, 46 10 34 40 40 34

STPT(10)	1021178907593825969	0 2 18 20 30 32 42 44 60 62	-790130621982
SPT(16)	1021179228340164031	0 36 48 66 88 90 108 178 228 298 316 318 340 358 370 406	-469384283920
STPT(10)	1021179291026335487	0 2 12 14 72 74 132 134 144 146	-406698112464
SPT(16)	1021179301759576667	0 2 14 24 26 42 66 96 110 140 164 180 182 192 204 206	-395964871284
SPT(16)	1021179470459461471	0 12 16 22 28 46 58 130 138 210 222 240 246 252 256 268	-227264986480
SPT(16)	1021179504832990249	0 22 48 54 70 112 120 138 154 172 180 222 238 244 270 292	-192891457702
STPT(10)	1021179697724448011	0 2 36 38 78 80 120 122 156 158	60
STPT(10)	1021179708572980181	0 2 36 38 78 80 120 122 156 158	10848532230
SPT(13)	1021179906864714481	0 30 66 78 120 126 288 450 456 498 510 546 576	209140266530
SPT(16)	1021179972733832209	0 30 42 58 72 78 138 154 168 184 244 250 264 280 292 322	275009384258
STPT(10)	1021179998560309769	0 2 18 20 30 32 42 44 60 62	300835861818