Prime p₀= 774104653746808079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 88 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 78 80 168 170 192 194 210 212 252 254
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: 254
Found by: matsu_pl
db: batch=73, k=14, 40 34 88 22 16 40

STPT(10)	774103925032085111	0 2 36 38 78 80 120 122 156 158	-728714722968
SPT(16)	774104000898290327	0 2 6 30 42 56 66 72 74 80 90 104 116 140 144 146	-652848517752
STPT(10)	774104006159093711	0 2 6 8 48 50 90 92 96 98	-647587714368
SPT(16)	774104174579130191	0 18 20 42 56 60 66 80 108 122 128 132 146 168 170 188	-479167677888
STPT(10)	774104187351396521	0 2 6 8 48 50 90 92 96 98	-466395411558
STPT(10)	774104331788031911	0 2 6 8 18 20 30 32 36 38	-321958776168
SPT(16)	774104857367661013	0 28 54 60 108 120 154 208 216 270 304 316 364 370 396 424	203620852934
STPT(10)	774104940721771157	0 2 30 32 72 74 114 116 144 146	286974963078
STPT(10)	774105303378687167	0 2 24 26 42 44 60 62 84 86	649631879088
STPT(10)	774105704243209757	0 2 12 14 42 44 72 74 84 86	1050496401678
SPT(16)	774106085527334627	0 36 42 86 92 114 140 146 210 216 242 264 270 314 320 356	1431780526548