Prime p₀= 1972061770784811437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 22 2 16 2 40 2 4 2 88 2 (?)
a_n: 0 2 90 92 114 116 132 134 174 176 180 182 270 272
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: Landjunge
db: batch=80, k=14, 88 22 16 40 4 88

SPT(16)	1972060942373783059	0 28 58 82 88 100 142 154 198 210 252 264 270 294 324 352	-828411028378
SPT(16)	1972060966459942661	0 6 50 62 72 90 98 108 140 150 158 176 186 198 242 248	-804324868776
SPT(16)	1972061195920568999	0 44 68 74 108 152 158 164 198 204 210 254 288 294 318 362	-574864242438
STPT(10)	1972061306435503901	0 2 36 38 78 80 120 122 156 158	-464349307536
STPT(10)	1972061324854638539	0 2 18 20 30 32 42 44 60 62	-445930172898
STPT(10)	1972061356644444971	0 2 6 8 48 50 90 92 96 98	-414140366466
SPT(16)	1972062080455816543	0 6 18 78 96 120 130 174 250 294 304 328 346 406 418 424	309671005106
STPT(10)	1972062507710312957	0 2 30 32 60 62 90 92 120 122	736925501520
STPT(10)	1972062552110785889	0 2 18 20 30 32 42 44 60 62	781325974452
SPT(16)	1972062741487520557	0 10 24 40 54 84 94 126 154 186 196 226 240 256 270 280	970702709120
SPT(16)	1972062974305066163	0 30 44 50 54 56 66 68 96 98 108 110 114 120 134 164	1203520254726