Prime p₀= 2156334219561215117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 16 2 22 2 106 2 40 2 (?)
a_n: 0 2 12 14 72 74 90 92 114 116 222 224 264 266
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: 266
Found by: Landjunge
db: batch=81, k=14, 10 58 16 22 106 40

STPT(10)	2156333614718618891	0 2 6 8 48 50 90 92 96 98	-604842596226
STPT(10)	2156333619689299049	0 2 18 20 30 32 42 44 60 62	-599871916068
SPT(16)	2156333787573480089	0 12 54 98 110 122 144 152 420 428 450 462 474 518 560 572	-431987735028
STPT(10)	2156333862648106871	0 2 36 38 78 80 120 122 156 158	-356913108246
SPT(16)	2156334053573063071	0 28 58 60 82 100 102 112 156 166 168 186 208 210 240 268	-165988152046
SPT(16)	2156334130060700671	0 28 30 60 102 120 126 132 196 202 208 226 268 298 300 328	-89500514446
SPT(16)	2156334235601726101	0 6 22 36 88 108 130 148 150 168 190 210 262 276 292 298	16040510984
STPT(10)	2156334506131202867	0 2 30 32 42 44 54 56 84 86	286569987750
STPT(12)	2156334738823351349	0 2 18 20 42 44 48 50 72 74 90 92	519262136232
STPT(10)	2156334806003176217	0 2 12 14 42 44 72 74 84 86	586441961100
STPT(12)	2156334824087812637	0 2 12 14 24 26 150 152 162 164 174 176	604526597520