Prime p₀= 1298066663354602781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Cruncher Pete
db: batch=77, k=10, 2 4 2 40 2

STPT(10)	1298065123303191071	0 2 6 8 48 50 90 92 96 98	-1540051411710
STPT(10)	1298065389936011297	0 2 42 44 72 74 102 104 144 146	-1273418591484
STPT(10)	1298065652996701607	0 2 12 14 72 74 132 134 144 146	-1010357901174
SPT(16)	1298065962710002729	0 22 34 52 102 132 178 190 192 204 250 280 330 348 360 382	-700644600052
TPT(14)	1298066018987219351	0 2 18 20 48 50 60 62 126 128 156 158 258 260	-644367383430
TPT(14)	1298066075313227177	0 2 60 62 84 86 114 116 144 146 150 152 222 224	-588041375604
SPT(16)	1298066762018532101	0 12 30 56 66 122 228 248 270 290 396 452 462 488 506 518	98663929320
SPT(16)	1298067658059243581	0 6 26 66 72 98 108 126 212 230 240 266 272 312 332 338	994704640800
STPT(10)	1298068068055403339	0 2 30 32 60 62 90 92 120 122	1404700800558
STPT(10)	1298068396183160351	0 2 36 38 78 80 120 122 156 158	1732828557570
SPT(16)	1298069115696362551	0 12 22 40 70 100 150 168 190 208 258 288 318 336 346 358	2452341759770