Prime p₀= 2263631340167138789 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 94 2 40 2 16 2 28 2 190 2 (?)
a_n: 0 2 12 14 108 110 150 152 168 170 198 200 390 392
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: 392
Found by: JayPi
db: batch=81, k=14, 10 94 40 16 28 190

SPT(16)	2263629399902944111	0 10 30 52 58 70 76 112 156 192 198 210 216 238 258 268	-1940264194678
SPT(16)	2263629419160796039	0 42 78 138 160 168 190 244 288 342 364 372 394 454 490 532	-1921006342750
SPT(18)	2263630098052359319	0 28 48 78 100 160 202 210 222 268 280 288 330 390 412 442 462 490	-1242114779470
SPT(16)	2263630628303777423	0 20 38 56 66 74 80 98 126 144 150 158 168 186 204 224	-711863361366
STPT(10)	2263630667991119501	0 2 6 8 48 50 90 92 96 98	-672176019288
SPT(16)	2263631154204080651	0 26 48 90 126 128 146 158 210 222 240 242 278 320 342 368	-185963058138
SPT(16)	2263631777336842477	0 24 34 52 70 102 126 160 186 220 244 276 294 312 322 346	437169703688
STPT(10)	2263631795944666967	0 2 30 32 120 122 210 212 240 242	455777528178
SPT(16)	2263632354032155423	0 30 36 58 70 126 130 198 316 384 388 444 456 478 484 514	1013865016634
STPT(10)	2263633007665151789	0 2 18 20 30 32 42 44 60 62	1667498013000
SPT(16)	2263633458414202817	0 24 50 92 122 144 164 230 264 330 350 372 402 444 470 494	2118247064028