Prime p₀= 2089588305739309379 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 136 2 28 2 112 2 28 2 (?)
a_n: 0 2 12 14 30 32 168 170 198 200 312 314 342 344
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: 344
Found by: Conan
db: batch=80, k=14, 10 16 136 28 112 28

STPT(10)	2089586366152511657	0 2 54 56 72 74 90 92 144 146	-1939586797722
SPT(16)	2089586423020697401	0 10 28 52 58 66 78 100 168 190 202 210 216 240 258 268	-1882718611978
SPT(16)	2089586712116438747	0 14 42 72 116 146 164 170 186 192 210 240 284 314 342 356	-1593622870632
TPT(14)	2089587711553954481	0 2 36 38 60 62 240 242 270 272 396 398 588 590	-594185354898
TPT(14)	2089587907913751239	0 2 12 14 42 44 78 80 150 152 192 194 282 284	-397825558140
STPT(10)	2089588148736041477	0 2 30 32 42 44 54 56 84 86	-157003267902
STPT(10)	2089588741527780041	0 2 6 8 48 50 90 92 96 98	435788470662
SPT(18)	2089588754585928949	0 12 22 28 78 198 210 262 282 370 390 442 454 574 624 630 640 652	448846619570
SPT(16)	2089588899156370861	0 36 40 42 82 126 132 156 166 190 196 240 280 282 286 322	593417061482
STPT(10)	2089588993973297357	0 2 30 32 72 74 114 116 144 146	688233987978
STPT(10)	2089589222577383477	0 2 30 32 42 44 54 56 84 86	916838074098