Prime p₀= 1214465128773547697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 4 2 28 2 10 2 10 2 94 2 (?)
a_n: 0 2 54 56 60 62 90 92 102 104 114 116 210 212
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: 212
Found by: Theadalus
db: batch=77, k=14, 52 4 28 10 10 94

SPT(16)	1214464405881777469	0 4 24 48 70 72 94 100 102 108 130 132 154 178 198 202	-722891770228
STPT(10)	1214464411836555071	0 2 90 92 108 110 126 128 216 218	-716936992626
SPT(16)	1214464611867624827	0 54 80 146 156 204 224 234 362 372 392 440 450 516 542 596	-516905922870
STPT(10)	1214464863913768079	0 2 18 20 30 32 42 44 60 62	-264859779618
SPT(16)	1214464962835816673	0 14 50 60 86 126 134 200 354 420 428 468 494 504 540 554	-165937731024
STPT(10)	1214465031528960851	0 2 6 8 48 50 90 92 96 98	-97244586846
SPT(16)	1214465144719627781	0 18 36 60 96 116 126 138 158 170 180 200 236 260 278 296	15946080084
SPT(16)	1214465343273127531	0 46 60 70 76 106 120 126 130 136 150 180 186 196 210 256	214499579834
TPT(14)	1214465471258372657	0 2 30 32 102 104 162 164 174 176 210 212 240 242	342484824960
SPT(16)	1214465811763980539	0 12 18 44 78 134 140 162 200 222 228 284 318 344 350 362	682990432842
TPT(14)	1214466131448937667	0 2 24 26 60 62 84 86 144 146 150 152 234 236	1002675389970