Prime p₀= 2121711638811562079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 16 2 40 2 34 2 28 2 40 2 (?)
a_n: 0 2 102 104 120 122 162 164 198 200 228 230 270 272
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: 272
Found by: Time_Traveler
db: batch=80, k=14, 100 16 40 34 28 40

SPT(16)	2121710112107473403	0 14 18 20 24 48 84 90 158 164 200 224 228 230 234 248	-1526704088676
STPT(10)	2121710560269524891	0 2 6 8 18 20 30 32 36 38	-1078542037188
TPT(14)	2121710853882815729	0 2 18 20 72 74 210 212 240 242 282 284 288 290	-784928746350
SPT(16)	2121711006561531401	0 8 32 38 42 78 108 162 188 242 272 308 312 318 342 350	-632250030678
STPT(10)	2121711248225500049	0 2 18 20 30 32 42 44 60 62	-390586062030
STPT(10)	2121711524520777347	0 2 54 56 72 74 90 92 144 146	-114290784732
SPT(16)	2121712227654855743	0 18 20 26 36 66 146 224 270 348 428 458 468 474 476 494	588843293664
SPT(16)	2121712260375117049	0 82 118 120 124 142 232 258 274 300 390 408 412 414 450 532	621563554970
SPT(16)	2121712359725498039	0 54 62 174 218 288 318 342 350 374 404 474 518 630 638 692	720913935960
STPT(10)	2121712401038481869	0 2 48 50 60 62 72 74 120 122	762226919790
STPT(10)	2121712526214469421	0 2 30 32 78 80 126 128 156 158	887402907342