Prime p₀= 1121860337525820119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 82 2 4 2 22 2 16 2 46 2 (?)
a_n: 0 2 78 80 162 164 168 170 192 194 210 212 258 260
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: 260
Found by: mcf2020
db: batch=76, k=14, 76 82 4 22 16 46

SPT(16)	1121858827323774499	0 40 72 84 88 114 130 144 208 222 238 264 268 280 312 352	-1510202045620
STPT(10)	1121858851696555319	0 2 42 44 90 92 138 140 180 182	-1485829264800
SPT(16)	1121858959489108747	0 12 34 54 60 100 102 114 142 154 156 196 202 222 244 256	-1378036711372
STPT(10)	1121859086903951831	0 2 30 32 120 122 210 212 240 242	-1250621868288
SPT(16)	1121859940389468053	0 20 48 50 104 116 126 200 204 278 288 300 354 356 384 404	-397136352066
STPT(10)	1121860319340418709	0 2 18 20 60 62 102 104 120 122	-18185401410
STPT(10)	1121860523531760107	0 2 30 32 42 44 54 56 84 86	186005939988
TPT(14)	1121860564731305669	0 2 30 32 240 242 312 314 342 344 420 422 480 482	227205485550
SPT(16)	1121860724656316737	0 4 130 190 196 204 214 226 240 252 262 270 276 336 462 466	387130496618
SPT(16)	1121861385188568457	0 4 12 42 60 66 72 82 114 124 130 136 154 184 192 196	1047662748338
SPT(16)	1121861511664812221	0 2 6 30 80 86 92 120 128 156 162 168 218 242 246 248	1174138992102