Prime p₀= 2696972961643622117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Dirk Broer
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2696971551963517391	0 2 36 38 138 140 168 170 210 212 336 338 426 428	-1409680104726
SPT(16)	2696971607157457499	0 48 74 90 108 114 128 150 182 204 218 224 242 258 284 332	-1354486164618
SPT(16)	2696972538805968457	0 4 16 40 84 130 156 214 222 280 306 352 396 420 432 436	-422837653660
SPT(16)	2696972772940156531	0 6 16 22 28 46 78 88 90 100 132 150 156 162 172 178	-188703465586
STPT(10)	2696972811899746151	0 2 36 38 78 80 120 122 156 158	-149743875966
SPT(16)	2696972942127980531	0 56 156 168 176 182 200 210 278 288 306 312 320 332 432 488	-19515641586
STPT(10)	2696973129149990237	0 2 30 32 42 44 54 56 84 86	167506368120
STPT(10)	2696973388434434897	0 2 60 62 72 74 84 86 144 146	426790812780
TPT(16)	2696973420639966491	0 2 18 20 48 50 126 128 168 170 210 212 330 332 396 398	458996344374
STPT(10)	2696973433983454397	0 2 30 32 72 74 114 116 144 146	472339832280
SPT(16)	2696973753766360309	0 54 64 114 142 160 184 250 282 348 372 390 418 468 478 532	792122738192