Prime p₀= 2081942985668114627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 40 2 64 2 100 2 40 2 58 2 (?)
a_n: 0 2 102 104 144 146 210 212 312 314 354 356 414 416
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: 416
Found by: Landjunge
db: batch=80, k=14, 100 40 64 100 40 58

STPT(10)	2081941904589109601	0 2 96 98 108 110 120 122 216 218	-1081079005026
TPT(14)	2081942163984221309	0 2 78 80 138 140 168 170 180 182 192 194 240 242	-821683893318
SPT(16)	2081942432834012233	0 16 18 24 58 70 78 106 108 136 144 156 190 196 198 214	-552834102394
STPT(10)	2081942527024010921	0 2 6 8 48 50 90 92 96 98	-458644103706
SPT(16)	2081942541437843957	0 6 20 56 92 104 116 234 242 360 372 384 420 456 470 476	-444230270670
SPT(16)	2081942580326498927	0 14 44 50 66 90 120 144 146 170 200 224 240 246 276 290	-405341615700
STPT(10)	2081943592065751031	0 2 36 38 78 80 120 122 156 158	606397636404
STPT(10)	2081943610192545497	0 2 30 32 72 74 114 116 144 146	624524430870
STPT(10)	2081943616266404711	0 2 6 8 18 20 30 32 36 38	630598290084
STPT(10)	2081943687011798567	0 2 60 62 72 74 84 86 144 146	701343683940
SPT(16)	2081943832049319967	0 4 10 54 112 136 222 234 292 304 390 414 472 516 522 526	846381205340