Prime p₀= 1957113296677673441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 10 2 76 2 106 2 10 2 (?)
a_n: 0 2 108 110 138 140 150 152 228 230 336 338 348 350
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: 350
Found by: Landjunge
db: batch=80, k=14, 106 28 10 76 106 10

SPT(16)	1957112078225541301	0 28 36 70 82 100 102 126 142 166 168 186 198 232 240 268	-1218452132140
SPT(16)	1957112652997407679	0 22 30 90 100 138 168 180 232 244 274 312 322 382 390 412	-643680265762
TPT(14)	1957112897022946781	0 2 18 20 66 68 108 110 138 140 360 362 396 398	-399654726660
SPT(16)	1957112912100111803	0 6 20 44 78 86 90 144 200 254 258 266 300 324 338 344	-384577561638
SPT(16)	1957113022745209211	0 12 42 60 72 86 120 150 212 242 276 290 302 320 350 362	-273932464230
STPT(10)	1957113098869976141	0 2 6 8 48 50 90 92 96 98	-197807697300
SPT(16)	1957113323785348609	0 18 40 82 90 130 138 160 192 214 222 262 270 312 334 352	27107675168
STPT(10)	1957113532359209891	0 2 6 8 18 20 30 32 36 38	235681536450
SPT(16)	1957113628134546229	0 10 78 90 108 150 154 190 192 228 232 274 292 304 372 382	331456872788
STPT(10)	1957113649310519639	0 2 18 20 30 32 42 44 60 62	352632846198
SPT(16)	1957113744478634237	0 26 42 84 110 132 174 194 312 332 374 396 422 464 480 506	447800960796