Prime p₀= 1976075863349144939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 88 2 40 2 34 2 22 2 (?)
a_n: 0 2 72 74 90 92 180 182 222 224 258 260 282 284
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: 284
Found by: Dingo
db: batch=80, k=14, 70 16 88 40 34 22

STPT(12)	1976074413192079997	0 2 12 14 42 44 210 212 240 242 252 254	-1450157064942
SPT(16)	1976074764335942747	0 2 96 110 122 192 224 236 240 252 284 354 366 380 474 476	-1099013202192
TPT(14)	1976074785592776179	0 2 42 44 48 50 78 80 150 152 192 194 252 254	-1077756368760
STPT(10)	1976074804691874671	0 2 36 38 78 80 120 122 156 158	-1058657270268
SPT(16)	1976075069626160873	0 56 60 140 146 188 198 206 300 308 318 360 366 446 450 506	-793722984066
SPT(18)	1976075423923997293	0 78 84 100 120 144 178 186 256 258 328 336 370 394 414 430 436 514	-439425147646
TPT(14)	1976076379841869241	0 2 96 98 126 128 138 140 156 158 180 182 210 212	516492724302
SPT(16)	1976076456974490071	0 38 68 110 116 120 132 168 200 236 248 252 258 300 330 368	593625345132
STPT(12)	1976076889313549129	0 2 30 32 48 50 72 74 90 92 120 122	1025964404190
SPT(16)	1976077073948239079	0 42 90 110 140 158 180 198 254 272 294 312 342 362 410 452	1210599094140
STPT(10)	1976077544886517727	0 2 54 56 72 74 90 92 144 146	1681537372788