Prime p₀= 786214671758160101 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 58 2 94 2 22 2 4 2 (?)
a_n: 0 2 18 20 30 32 90 92 186 188 210 212 216 218
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: schoussi
db: batch=73, k=14, 16 10 58 94 22 4

STPT(10)	786213577666420901	0 2 6 8 48 50 90 92 96 98	-1094091739200
SPT(16)	786214016428779641	0 20 66 68 98 110 150 180 218 248 288 300 330 332 378 398	-655329380460
SPT(16)	786214246195883963	0 14 38 50 56 86 90 108 146 164 168 198 204 216 240 254	-425562276138
SPT(16)	786214417612834957	0 4 6 22 60 64 76 84 112 120 132 136 174 190 192 196	-254145325144
SPT(16)	786214549806082519	0 58 84 150 168 220 238 280 282 324 342 394 412 478 504 562	-121952077582
TPT(14)	786214590576108677	0 2 42 44 84 86 222 224 240 242 252 254 300 302	-81182051424
STPT(10)	786215635660512917	0 2 30 32 72 74 114 116 144 146	963902352816
STPT(10)	786215765571678521	0 2 30 32 78 80 126 128 156 158	1093813518420
SPT(18)	786215793408299321	0 60 68 78 92 96 116 152 198 200 246 282 302 306 320 330 338 398	1121650139220
STPT(10)	786215855672100611	0 2 6 8 18 20 30 32 36 38	1183913940510
STPT(10)	786216128802727871	0 2 78 80 108 110 138 140 216 218	1457044567770