Prime p₀= 1278037306955222381 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: MarkRBright
db: batch=77, k=10, 2 124 2 10 2

STPT(10)	1278035571636608957	0 2 12 14 72 74 132 134 144 146	-1735318613424
SPT(16)	1278035601612876367	0 46 70 72 84 94 112 132 154 174 192 202 214 216 240 286	-1705342346014
STPT(10)	1278036066801333809	0 2 12 14 30 32 48 50 60 62	-1240153888572
SPT(20)	1278036182066012921	0 222 242 248 272 282 290 300 318 362 396 440 458 468 476 486 510 516 536 758	-1124889209460
STPT(10)	1278036230960620487	0 2 30 32 72 74 114 116 144 146	-1075994601894
STPT(10)	1278036277456034561	0 2 90 92 108 110 126 128 216 218	-1029499187820
STPT(10)	1278037516712623361	0 2 36 38 78 80 120 122 156 158	209757400980
SPT(16)	1278037541433898909	0 4 70 118 124 160 184 234 244 294 318 354 360 408 474 478	234478676528
SPT(16)	1278037777986826897	0 24 40 52 94 102 126 154 162 190 214 222 264 276 292 316	471031604516
SPT(16)	1278037939410449117	0 14 32 60 80 90 150 180 236 266 326 336 356 384 402 416	632455226736
SPT(13)	1278037944276894293	0 30 36 120 210 276 330 384 450 540 624 630 660	637321671912