Prime p₀= 2076972760080671777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 28 2 28 2 10 2 76 2 (?)
a_n: 0 2 84 86 102 104 132 134 162 164 174 176 252 254
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: conf [MM]
db: batch=80, k=14, 82 16 28 28 10 76

SPT(16)	2076972263013299777	0 2 30 60 80 132 222 234 272 284 374 426 446 476 504 506	-497067372000
SPT(16)	2076972419187297257	0 2 36 54 62 92 110 132 134 156 174 204 212 230 264 266	-340893374520
SPT(16)	2076972431378151253	0 6 46 48 60 66 136 148 156 168 238 244 256 258 298 304	-328702520524
SPT(16)	2076972488454696397	0 12 24 34 64 66 70 126 130 186 190 192 222 232 244 256	-271625975380
SPT(16)	2076972521612865787	0 10 42 72 162 190 204 232 234 262 276 304 394 424 456 466	-238467805990
SPT(16)	2076972703793664563	0 14 110 138 174 176 194 200 204 210 228 230 266 294 390 404	-56287007214
SPT(16)	2076972929228490193	0 18 40 46 60 66 76 90 124 138 148 154 168 174 196 214	169147818416
TPT(14)	2076973198228734989	0 2 30 32 72 74 108 110 150 152 210 212 240 242	438148063212
STPT(10)	2076973601405991269	0 2 18 20 60 62 102 104 120 122	841325319492
STPT(10)	2076973763700586757	0 2 30 32 42 44 54 56 84 86	1003619914980
STPT(10)	2076973784489194499	0 2 18 20 30 32 42 44 60 62	1024408522722