Prime p₀= 2697012753019594127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2697010956782622551	0 2 288 290 366 368 390 392 570 572 588 590 630 632	-1796236971576
STPT(10)	2697011414429086367	0 2 30 32 42 44 54 56 84 86	-1338590507760
STPT(10)	2697011652945900341	0 2 6 8 18 20 30 32 36 38	-1100073693786
SPT(16)	2697012016998468413	0 74 96 138 156 170 186 210 254 278 294 308 326 368 390 464	-736021125714
SPT(16)	2697012327061838713	0 28 30 36 76 124 166 168 196 198 240 288 328 334 336 364	-425957755414
STPT(10)	2697012358647494159	0 2 18 20 30 32 42 44 60 62	-394372099968
SPT(16)	2697012772841771479	0 12 28 42 102 118 120 132 160 172 174 190 250 264 280 292	19822177352
SPT(16)	2697012910092809747	0 20 36 50 116 164 182 186 290 294 312 360 426 440 456 476	157073215620
SPT(16)	2697013093383015973	0 16 60 114 184 216 250 304 426 480 514 546 616 670 714 730	340363421846
TPT(14)	2697013576706028689	0 2 18 20 90 92 102 104 168 170 180 182 258 260	823686434562
STPT(10)	2697013657607064251	0 2 30 32 78 80 126 128 156 158	904587470124